Ideal gas problem - Chemistry problem?

R = 8.314510 L kPa / mol K

How many times more pressure is required to compress a 1.0 L sample of a gas measured at -20 degrees C to a final volume ot 0.50 L measured at 40.0 degrees C?

Comments

  • you are looking for a ratio of new P to old P

    P1 / Po = (nRT/V)_1 / (nRT/V)_o

    n and R do not change so they cancel

    T1 = 313 K and To = 253 K

    P1/Po = (313/0.50) / (253/1.0) = 2.47/1 or about 2 1/2 times

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  • P1V1/T1 = P2V2/T2

    P1 = 1

    V1 = 1.0 L

    T1 = 253.15 K

    P1V1/T1 = 0.003950

    P2 = ?

    V2 = 0.50 L

    T2 = 313.15 K

    P2V2/T2 = P2 x 0.001597

    0.003950 = P2 x 0.001597

    P2 = 2.47

    P2 = 2.47 x P1

  • PV=nRT

    do T in K = C+273

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